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Finding the Fourth Proportional to 32,497.74, 48,738.24 and 12,776.40

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Solution

The fourth proportional to 32,497.74, 48,738.24 and 12,776.40 is: 19,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.74 : 48,738.24 = 12,776.40 : x
  2. Step 2: Convert to fraction form
    32,497.74/48,738.24 = 12,776.40/x
  3. Step 3: Cross multiply
    32,497.74x = 48,738.24 × 12,776.40
  4. Step 4: Simplify right side
    32,497.74x = 622,699,249.54
  5. Step 5: Solve for x
    x = 622,699,249.54/32,497.74
  6. Step 6: Final answer
    x = 19,161.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.